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Ioannis K. Argyros, Santhosh George, Samundra Regmi and Christopher I. Argyros
Iterative algorithms requiring the computationally expensive in general inversion of linear operators are difficult to implement. This is the reason why hybrid Newton-like algorithms without inverses are developed in this paper to solve Banach space-valu...
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Peter Marvin Müller, Georgios Bletsos and Thomas Rung
The contribution is devoted to combined shape- and mesh-update strategies for parameter-free (CAD-free) shape optimization methods. Three different strategies to translate the shape sensitivities computed by adjoint shape optimization procedures into sim...
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Ioannis K. Argyros, Stepan Shakhno, Samundra Regmi and Halyna Yarmola
A plethora of methods are used for solving equations in the finite-dimensional Euclidean space. Higher-order derivatives, on the other hand, are utilized in the calculation of the local convergence order. However, these derivatives are not on the methods...
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Holger Boche, Yannik N. Böck, Ullrich J. Mönich and Frank H. P. Fitzek
This article compares two methods of algorithmically processing bandlimited time-continuous signals in light of the general problem of finding ?suitable? representations of analog information on digital hardware. Albeit abstract, we argue that this probl...
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Anna Baranska, Joanna Bac-Bronowicz, Dorota Dejniak, Stanislaw Lewinski, Artur Krawczyk and Tadeusz Chrobak
The development of generalisation (simplification) methods for the geometry of features in digital cartography in most cases involves the improvement of existing algorithms without their validation with respect to the similarity of feature geometry befor...
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Kifayat Ullah, Muhammad Safi Ullah Khan and Manuel de la Sen
In this paper, we provide and study the concept of multi-valued generalized (??,??)
(
a
,
ß
)
-nonexpansive mappings, which is the multi-valued version of the recently developed generalized (??,??)
(
a
,
ß
)
-nonexpansive mappings. We establish some elem...
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Efthimios Providas
This article is concerned with the construction of approximate analytic solutions to linear Fredholm integral equations of the second kind with general continuous kernels. A unified treatment of some classes of analytical and numerical classical methods,...
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Samundra Regmi, Ioannis K. Argyros and Santhosh George
A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence. Moreover, no error esti...
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Janak Raj Sharma, Sunil Kumar and Ioannis K. Argyros
We discuss the local convergence of a derivative-free eighth order method in a Banach space setting. The present study provides the radius of convergence and bounds on errors under the hypothesis based on the first Fréchet-derivative only. The approaches...
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Elvio Accinelli
Pág. pp. 169 - 177
In this paper we prove that the social equilibrium set, of an exchange economy, with consumption space as a subset of a Banach space in a Banach manifold, and this Characterization does not depend on the number of commodities. In the way to obtain this c...
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